From the Big Bang Theory to the Theory of a Stationary Universe

TL;DR

This paper explores a stationary self-reproducing inflationary universe model, challenging the traditional Big Bang view, by analyzing chaotic inflation with specific potentials and demonstrating a time-independent probability distribution of universe states.

Contribution

It introduces a stationary probability distribution framework for self-reproducing inflationary domains, providing a novel perspective on the universe's evolution and structure.

Findings

Inflationary domains with large scalar fields produce new domains indefinitely.

A stationary probability distribution describes the universe's properties over time.

The approach diverges from the standard Big Bang paradigm.

Abstract

We consider chaotic inflation in the theories with the effective potentials phi^n and e^{\alpha\phi}. In such theories inflationary domains containing sufficiently large and homogeneous scalar field \phi permanently produce new inflationary domains of a similar type. We show that under certain conditions this process of the self-reproduction of the Universe can be described by a stationary distribution of probability, which means that the fraction of the physical volume of the Universe in a state with given properties (with given values of fields, with a given density of matter, etc.) does not depend on time, both at the stage of inflation and after it. This represents a strong deviation of inflationary cosmology from the standard Big Bang paradigm. We compare our approach with other approaches to quantum cosmology, and illustrate some of the general conclusions mentioned above with the results of a computer simulation of stochastic processes in the inflationary Universe.